Solve the Decimal Equation: Finding Missing Number in 0.35 - __ = 0.10

Q: Why do I subtract 0.10 from 0.35 instead of adding?

Think of it this way: if you start with 0.35 and take away some amount to get 0.10, that amount must be the difference between them. So missing number = starting amount - ending amount.

Q: How can I check if 0.25 is really correct?

Simply substitute it back! Calculate 0.35 - 0.25. If you get 0.10, then 0.25 is the right answer. This verification step catches any calculation errors.

Q: Is there another way to think about this problem?

Yes! You can think of it as: "What number plus 0.10 equals 0.35?" This gives you the same equation: _ + 0.10 = 0.35, which also gives _ = 0.25.

Decimal Subtraction with Missing Minuends

$0.35-_{——}=0.10$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the unknown

00:03 Isolate the unknown

00:06 Use long subtraction for calculation

00:11 Subtract and substitute accordingly

00:20 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0.35-_{——}=0.10$

Step-by-step solution

To solve the equation $0.35 - \_ = 0.10$ , we need to determine the value that, when subtracted from $0.35$ , results in $0.10$ .

Step 1: Identify the given equation: $0.35 - \_ = 0.10$ .
Step 2: Rearrange the equation to find the missing number: $\_ = 0.35 - 0.10$ .
Step 3: Perform the subtraction:
- $0.35 - 0.10 = 0.25$ .

Therefore, the value that completes the equation is $0.25$ .

Final Answer

$0.25$

Key Points to Remember

Essential concepts to master this topic

Rule: To find missing minuend, rearrange equation algebraically
Technique: Transform 0.35 - _ = 0.10 to _ = 0.35 - 0.10
Check: Substitute back: 0.35 - 0.25 = 0.10 ✓

Common Mistakes

Avoid these frequent errors

Adding instead of subtracting when rearranging
Don't solve 0.35 - _ = 0.10 by calculating 0.35 + 0.10 = 0.45! This confuses the inverse operation needed. When you move 0.10 to the other side, it stays positive, so you calculate 0.35 - 0.10. Always remember: to isolate the missing number, subtract the result from the starting number.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I subtract 0.10 from 0.35 instead of adding?

Think of it this way: if you start with 0.35 and take away some amount to get 0.10, that amount must be the difference between them. So missing number = starting amount - ending amount.

How can I check if 0.25 is really correct?

Simply substitute it back! Calculate 0.35 - 0.25. If you get 0.10, then 0.25 is the right answer. This verification step catches any calculation errors.

Is there another way to think about this problem?

Yes! You can think of it as: "What number plus 0.10 equals 0.35?" This gives you the same equation: _ + 0.10 = 0.35, which also gives _ = 0.25.

What if the numbers were harder decimals like 0.347?

The method stays exactly the same! Line up the decimal points carefully and subtract. For example: 0.347 - 0.125 = 0.222. The key is proper decimal alignment.

Why is this different from regular subtraction problems?

In regular subtraction, you're given both numbers to subtract. Here, you're given the starting number and the final result, and you need to find what was subtracted. It's like working backwards!

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